College

We appreciate your visit to You have been accepted into a boat building competition You get to pick between two boat plans Boat A s plans has the dimensions of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

You have been accepted into a boat building competition. You get to pick between two boat plans. Boat A’s plans has the dimensions of 45m wide and 126m long and exerts 2300Pa of pressure. Boat B’s plans has the dimensions of 6m wide and 115m long and exerts 2700Pa of pressure. In order for the boat to float, the force applied to the water must not exceed 2.0 X 10 6 N. Would you pick Plan A or Plan B?

Answer :

Answer:

the force B is less than the maximum force consequently Boat B floats

Explanation:

To solve this exercise let's use the pressure defined

P = [tex]\frac{F}{A}[/tex]

F = P A


let's start for boat A

let's search the area

A = l a

A₁ = 45 126

A₁ = 5670 m²


the force applied by this ship is

F₁ = 2300 5670

F₁ = 1.3 10⁷ N


now we do the calculation for ship B

A₂ = 6 115

A₂ = 690 m²


F₂ = P₂ A₂

F₂ = 2700 690

F₂ = 1.8 10⁶ N

indicate that the force should not be greater than F₀ = 2.0 10⁶ N, let's look for the relationship with each one

[tex]\frac{F_1}{F_0}[/tex] = 1.3 10⁷/2 10⁶

F₁ = 6.5 F₀


This force is greater than the one that can resist therefore the ship and sinks


[tex]\frac{F_2}{F_o}[/tex] = 1.8 /2

F₂ = 0.9 F₀


therefore this force is less than the maximum force consequently Boat B floats

Thanks for taking the time to read You have been accepted into a boat building competition You get to pick between two boat plans Boat A s plans has the dimensions of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada